On defects of characters and decomposition numbers
Gunter Malle, Gabriel Navarro, Benjamin Sambale
TL;DR
This paper establishes upper bounds on the number of modular constituents and decomposition numbers of complex irreducible characters of finite groups when restricted modulo p, providing new theoretical limits in representation theory.
Contribution
It introduces novel upper bounds for the modular constituents and decomposition numbers in specific cases, advancing understanding in modular representation theory.
Findings
Derived upper bounds for modular constituents
Provided bounds for decomposition numbers
Enhanced theoretical framework in modular representation theory
Abstract
We propose upper bounds for the number of modular constituents of the restriction modulo of a complex irreducible character of a finite group, and for its decomposition numbers, in certain cases.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.